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Finding the Third Proportional to 182.17 and 393.29

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Solution

The third proportional to 182.17 and 393.29 is: 849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.17 : 393.29 = 393.29 : x
  2. Step 2: Convert to fraction form
    182.17/393.29 = 393.29/x
  3. Step 3: Cross multiply
    182.17x = 393.29 × 393.29
  4. Step 4: Simplify right side
    182.17x = 154,679.36
  5. Step 5: Solve for x
    x = 154,679.36/182.17
  6. Step 6: Final answer
    x = 849.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.